I've not seen anyone with a Princess reporting this problem, so take it for what it's worth, but I've been having a little bit of a cat plugging problem on one of my Ashford 30's. I run two, one on 15 feet of pipe and the other on 30 feet, and the trouble is isolated to the one on the tall pipe, and it only seems to happen when I'm running it hard for extended periods, never when it's dialed down.
Then I saw this...
Sounds like the issue I experienced, and the solution was very simple, a key damper. Actually, only simple if I don't fall asleep on the couch before turning the damper down, that happened once this year.
The cat is very simple to pull and re-install. Very simple. But take a picture before you pull it, if you have any doubts about putting it back in the right way. You'll need about 3 feet of 2" interam gasket on hand, before you pull the cat, this gets replaced each time. Use masking tape to hold the gasket onto the combustor for re-install, the tape will burn off at the first use.
My experience was that this would improve things, by knocking a good bit of the crap off it, but I always required a full shop vac treatment to get it back to 100%. I'm not sure about the princess, or if you're even having the same problem, but in the Ashford it's pretty tough to do a thorough vacuuming of the combustor with it installed.
The first two times I clogged mine last year, this seemed to be the case, but the third time I just couldn't get the stove to start breathing right, again. So, I pulled the combustor, and found most of the back face plugged with something that looked like creosote. I'm guessing the total ash plugging on the front face somehow caused that, I've never seen it before or since, and I'd think the combustor normally runs way too hot to plug with creo, when it's not stopped up with ash. I clogged at least four combustors last year, that I can recall, before installing the key damper.
Again, I thought the problem was unique to those running BK 30's hard on very tall pipes, and a result of the more aggressive air wash on the 30 boxes, versus the old Princess and King. Maybe I was wrong about all of that, I had never seen a Princess owner indicate any similar problem, but I have seen such reports from one or two other Ashford owners.